4007872 has 28 divisors (see below), whose sum is σ = 8677656. Its totient is φ = 1821440.

The previous prime is 4007863. The next prime is 4007881. The reversal of 4007872 is 2787004.

4007872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4007863) and next prime (4007881).

It is a self number, because there is not a number n which added to its sum of digits gives 4007872.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2143 + ... + 3550.

Almost surely, 2^4007872 is an apocalyptic number.

It is an amenable number.

4007872 is an abundant number, since it is smaller than the sum of its proper divisors (4669784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4007872 is a wasteful number, since it uses less digits than its factorization.

4007872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5716 (or 5706 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 4007872 is about 2001.9670326956. The cubic root of 4007872 is about 158.8441704688.

The spelling of 4007872 in words is "four million, seven thousand, eight hundred seventy-two".